Take a calculator and enter any number. Then press the cosine key over and over. Eventually the numbers will stop…

Continue Reading# theorem

## Stone-Weierstrass on a disk

A couple weeks ago I wrote about a sort of paradox, that Weierstrass’ approximation theorem could seem to contradict Morera’s…

Continue Reading## Lebesgue’s proof of Weierstrass’ theorem

A couple weeks ago I wrote about the Weierstrass approximation theorem, the theorem that says every continuous function on a…

Continue Reading## Fame, difficulty, and usefulness

Pierre Fermat is best known for two theorems, dubbed his “last” theorem and his “little” theorem. His last theorem is…

Continue Reading## An Introduction to the Powerful Bayes’ Theorem for Data Science Professionals

Source: i. ytimg. com Let E denote the event that a red ball is chosen and A, B, and C…

Continue Reading## Statistics 101: Introduction to the Central Limit Theorem (with implementation in R)

Let’s look at an alternate approach. First, draw groups of students at random from the class. We will call this…

Continue Reading## In Favor of Monotony in a Complex World

In Favor of Monotony in a Complex WorldDaily WisdomBlockedUnblockFollowFollowingApr 3Coordination seems to be a magical word for today’s digital age as…

Continue Reading## Towards a simple theorem prover

Why can’t it be simplified?Note: I also noticed a different problem with Cedille-Core, which may make it incompatible with the…

Continue Reading## Kepler and the contraction mapping theorem

We’ll make this statement more precise and give a historically important application.Definitions and theoremA function f on a metric space…

Continue Reading## The naive Bayes classifier

In this case, what is the probability Y belongs to a distinct class k given an observation x?πₖ is the…

Continue Reading